One way of doing this is to build NPC / AI behaviors that know how to “move a car along a navigation path” and “turn the wheel with the hands based on the car steering.”
Then, what you animate, is not the exact movement of the hands and wheels and car, but the AI destination parameters used for pathfinding/movement.
This will generally make it much easier to build longer cut scenes, but it requires that you make your AI behaviors and AI animations look realistic. (Which is generally useful even for non-cutscene AI 